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Results tagged with noncommutative-algebra
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user 16183
Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras
31
votes
2
answers
1k
views
How to make the Capelli's identity less mysterious?
The formulation of the Capelli's identity is very elementary; it has important applications in invariant theory and representation theory, see http://en.wikipedia.org/wiki/Capelli%27s_identity
To rem …
- 21.8k
11
votes
1
answer
738
views
Determinants of octonionic hermitian matrices
For quaternionic hermitian matrices (i.e. quaternionic square matrices $(a_{ij})$ satisfying
$a_{ji}=\bar a_{ij}$) there is a nice notion of (Moore) determinant which can be defined as follows.
Firs …
- 21.8k